2133851864000 has 448 divisors, whose sum is σ = 5685086684160. Its totient is φ = 791310643200.

The previous prime is 2133851863993. The next prime is 2133851864021. The reversal of 2133851864000 is 4681583312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2580231587 + ... + 2580232413.

Almost surely, 2^{2133851864000} is an apocalyptic number.

2133851864000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133851864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842543342080).

2133851864000 is an abundant number, since it is smaller than the sum of its proper divisors (3551234820160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2133851864000 is a wasteful number, since it uses less digits than its factorization.

2133851864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 2133851864000 in words is "two trillion, one hundred thirty-three billion, eight hundred fifty-one million, eight hundred sixty-four thousand".